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Finding the Fourth Proportional to 31,181, 46,788.42 and 18,059

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Solution

The fourth proportional to 31,181, 46,788.42 and 18,059 is: 27,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,181 : 46,788.42 = 18,059 : x
  2. Step 2: Convert to fraction form
    31,181/46,788.42 = 18,059/x
  3. Step 3: Cross multiply
    31,181x = 46,788.42 × 18,059
  4. Step 4: Simplify right side
    31,181x = 844,952,076.78
  5. Step 5: Solve for x
    x = 844,952,076.78/31,181
  6. Step 6: Final answer
    x = 27,098.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.